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Werg22
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Prove or disprove that it is possible.
Well,the central cube needs 6 cuts.Werg22 said:Prove or disprove that it is possible.
Xori said:Yes, you can use a knife with two blades so you only make one cut in each direction
Unfortunately we can't...jimmysnyder said:... it seems reasonable that you could get 27 in 5 .
Rogerio said:It doesn't matter if you are going to use the knife just 3 times.
The question is about the number of cuts - and you need 6 cuts!
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And, according to your point of view, why didn't you use acid instead a knife?
So you would need no cuts at all ! :rofl:
Wild Angel said:Can you figure out a way with less cuts?
JDEEM said:It can be done in 4 cuts. think about it.
JDEEM said:It can be done in 4 cuts. think about it.
davee123 said:So, what if you could re-arrange the pieces before making subsequent cuts? ...
Rogerio said:Of course you can!
However the number of cuts remains 6...
Andre said:Dunno, is there a requirement that all 27 cubes have the same size? Are more pieces allowed?
Andre said:... the fifth cut will end up with 32 pieces (2^5), 27 of them should be cubes in any size.
Rogerio said:Wouldn't you thinking of "parallelepipeds" instead "cubes" ?
davee123 said:Here's a question: what's the MOST number of cubes you can create with 6 cuts, allowing piece re-arrangement?
DaveE
Rogerio said:This is much more easier : 64
You might want to take a sec to follow the thread before responding. https://www.physicsforums.com/showpost.php?p=1438690&postcount=4" would be good.ƒ(x) said:Use a device that makes multiple slices with each cut...not sure if this qualifies.
Yes, it is possible to cut a cube into 27 smaller cubes in less than 6 cuts. This is known as the 27-cube problem and has been solved by mathematicians using advanced techniques such as dissection and folding.
The solution involves cutting the cube into smaller pieces, rearranging them, and then folding or unfolding them to form the 27 smaller cubes. This process requires careful planning and precise cutting to achieve the desired result.
While the 27-cube problem may seem like a purely mathematical exercise, it has practical applications in fields such as engineering and computer science. For example, it can be used to optimize the layout of objects in a confined space or to improve the efficiency of packing algorithms.
Yes, the 27-cube problem has been solved for cubes of different sizes, including rectangular prisms and cubes with non-integer side lengths. However, the number of cuts required may vary depending on the dimensions of the original cube.
No, there is no limit to the number of smaller cubes that can be formed from a single cube. In fact, mathematicians have solved the 27-cube problem for cubes of up to 100 smaller cubes, and the general solution for any number of smaller cubes is known as the n-cube problem.